What is the magnitude of the electric force of attraction between an iron nucleus

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Question: 

What is the magnitude of the electric force of attraction between an iron nucleus (q = +26e) and its innermost electron if the distance between them is $1.5 \times 10^{-12} \textrm{ m}$?

Giancoli, Douglas C., Physics: Principles with Applications, 7th Ed., ©2014. Reprinted by permission of Pearson Education Inc., New York.
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Quick Answer: 

$2.7 \times 10^{-3} \textrm{ N}$

What is the magnitude of the electric force of attraction between an iron nucleus

Transcript for this Giancoli solution

This is Giancoli Answers with Mr. Dychko. Using Coulomb's law, we take the Coulomb's constant k multiplied by one charge which is the iron nucleus, 26 times the elementary charge. And then multiply that by the charge of the electron which is 1.5 times 10 to the minus 12 meters away. So it's 26 times 1.6 times 10 to the minus 19 Coulomb's for the charge in the nucleus, and then 8.988 times 10 to the nine Newton-meter square per Coulomb squared, Coulomb's constant. And then divided by 1.5 times 10 to the minus 12 meters squared. The denominator is squared. And this gives us 2.7 times 10 to the minus 3 Newtons is the force. And that's a force of attraction. Because they're of opposite charges, the nucleus will be positive and the electron will be negative. I guess I can put a negative sign there, couldn't I? But it says a magnitude, doesn't it? Yes, so never mind. It just says what's the magnitude of the charge. That's why we don't need the negative sign there.

Electric Potential Energy

In physics, potential energy is the energy possessed by a body or a system due to its position relative to others, stresses within itself, electric charge, and other factors. The unit for energy in the International System of Units (SI) is the joule (J). One joule is the energy expended (or work done) in applying a force of one newton through a distance of one metre (1 newton metre). The term potential energy was introduced by the 19th century Scottish engineer and physicist William Rankine, although it has links to Greek philosopher Aristotle's concepts of potentiality. Potential energy is associated with forces that act on a body in a way that the work done by these forces on the body depends only on the initial and final positions of the body, and not on the specific path between them. These forces, that are called potential forces, can be represented at every point in space by vectors expressed as gradients of a scalar function called potential. Potential energy is the energy of an object. It is the energy by virtue of a position relative to other objects. Potential energy is associated with restoring forces such as a spring or the force of gravity. The action of stretching the spring or lifting the mass is performed by a force that works against the force field of the potential. This work is stored in the field, which is said to be stored as potential energy.

What is the electric force on the electron due to the nucleus?

The attractive force between the electrons and the nucleus is called the electric force. Experiments have shown that the electric force between two objects is proportional to the inverse square of the distance between the two objects.

How do you find electric force of attraction?

Coulomb's law calculates the magnitude of the force F between two point charges, q1 and q2, separated by a distance r. F=k|q1q2|r2.

What is the electric force between the proton?

The charge on a proton is positive whereas the charge on an electron is negative. As the polarity of both the charges is opposite, that's why the electrostatic force between them is attractive in nature. Always remember like charges repel each other and unlike charges attract each other.

What is the electrostatic force between two protons in a nucleus?

The magnitude of the electric force between two protons is 2.30 × 10^-26 N .